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30410231153344 = 267476079237581
BaseRepresentation
bin1101110101000011011110…
…00001101000001011000000
310222200012010021222120101021
412322201233001220023000
512441220123133401334
6144402133424315224
76256031606560510
oct672415701501300
9128605107876337
1030410231153344
1197649a7769389
1234b1858a72b14
1313c789860bc83
14771c12283840
1537b08e9e03b4
hex1ba86f0682c0

30410231153344 has 112 divisors (see below), whose sum is σ = 70445305774080. Its totient is φ = 12753507271680.

The previous prime is 30410231153333. The next prime is 30410231153417. The reversal of 30410231153344 is 44335113201403.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127880634 + ... + 128118214.

Almost surely, 230410231153344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30410231153344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35222652887040).

30410231153344 is an abundant number, since it is smaller than the sum of its proper divisors (40035074620736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30410231153344 is a wasteful number, since it uses less digits than its factorization.

30410231153344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243726 (or 243716 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 30410231153344 its reverse (44335113201403), we get a palindrome (74745344354747).

The spelling of 30410231153344 in words is "thirty trillion, four hundred ten billion, two hundred thirty-one million, one hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 658 752 1316 1504 2632 3008 5264 6079 10528 12158 21056 24316 42553 48632 85106 97264 170212 194528 237581 285713 340424 389056 475162 571426 680848 950324 1142852 1361696 1663067 1900648 1999991 2285704 2723392 3326134 3801296 3999982 4571408 6652268 7602592 7999964 9142816 11166307 13304536 15205184 15999928 18285632 22332614 26609072 31999856 44665228 53218144 63999712 78164149 89330456 106436288 127999424 156328298 178660912 312656596 357321824 625313192 714643648 1250626384 1444254899 2501252768 2888509798 5002505536 5777019596 10109784293 11554039192 20219568586 23108078384 40439137172 46216156768 67879980253 80878274344 92432313536 135759960506 161756548688 271519921012 323513097376 475159861771 543039842024 647026194752 950319723542 1086079684048 1900639447084 2172159368096 3801278894168 4344318736192 7602557788336 15205115576672 30410231153344